Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:28:08.090406Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2608.11969.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:28:08.090406Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
71 of 71 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e2dca95c-3367-4f71-97f3-43534ac35ca9 · outbound
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 417122e4-d2e7-4948-999a-d334ae6e67c3 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2000 , PAGES =
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf38c0dc-1267-4f5c-a453-8f43b3e01c2f · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 44902194-2d71-4141-8d98-c66baaf0de09 · outbound
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2a7ec15-1d8b-4916-8082-e0497683844b · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cf82cbda-3e6d-440f-be1f-203f4b569e36 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Arithmetic theory of elliptic curves (
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfff1101-a218-410f-9331-a9f6f54fd4a6 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bcddf10-380d-4ecf-b834-b540bfd5ff8a · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Algebra Number Theory , FJOURNAL =
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f5d3c9ed-dee0-42bb-8cb2-00f3330055b7 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields [2021] 2021 , PAGES =
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4df3cbf1-4147-49d8-8f7c-2a9c8da8b599 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2013 , PAGES =
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fd2e18f6-0338-44ba-a195-d05d16c261a3 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b8ea44dc-5397-449c-9f53-051a71af0820 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Stein, William A
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8028e116-b644-4fd4-bda5-4946a85bc62a · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Takahashi, Shuzo , TITLE =
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cd526e66-2c9e-4d35-9934-13de7498effd · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7d7ec9c8-abc5-4565-8faa-87f3dbf5b27b · outbound
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dc110ff6-bbf4-4eb9-b8d6-41715a0380fb · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 26b598c3-e8b9-43ca-9534-8df7f7bedc20 · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 99a4de36-0d61-4727-8bb4-c429169d9136 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 355fd56e-beb5-4bc8-88cf-0cc6d5b00991 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2022 , eprint=
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 92770567-1d98-4a97-8a3e-3b7acac1d260 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Journal of Soviet Mathematics , volume=
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation aef17d0a-8b0b-4529-8fd4-ed98f12fbe70 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Algebra Number Theory , FJOURNAL =
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7719e174-e0f3-4f96-8c0f-c9957eb1389b · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56be076c-4d32-464c-a93f-935424d9ec07 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b35ee639-d9e2-41b0-a208-a52be516c3e7 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 228b45c9-bdc6-493f-bfbf-bf8081a12e75 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 886e545d-459c-4a59-98c7-3714031e659b · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation be828e86-ac2d-4b0c-a550-7ed99e1e8f1f · outbound
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ad46af5-de58-487b-bc30-eb3e427b54df · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Wiles, A
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6b03a63-558c-4852-a2af-4b27e6e07634 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Compositio Math
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 88c6226a-8756-4807-a941-ae18d66b8c61 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Zagier, Don B
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9d86673-2095-486c-928d-69ad6da846b1 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3250f2d2-7572-4a33-9f11-4209a08779f4 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9cdb81e1-b89a-4b20-91d3-73bdac268f05 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e951da08-f4ec-4bd2-9e3c-862ca2de4d30 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields The Iwasawa Main Conjecture for universal families of modular motives
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b7f5e1d4-6a41-468f-937a-fc2cd25b73eb · outbound
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d57219b6-023d-408b-a65c-abf4723c4e4c · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0078d695-ec1f-4fa2-8dad-5a62c15f959b · outbound
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation af4d620a-bb82-4f10-9d0f-d56569368fa0 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 53ef2653-e6ec-4bd6-8253-b00530f75030 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc5d626c-38da-46ef-a296-0e155c4ce2ec · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Arithmetic algebraic geometry (
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation eddceb51-caa3-4559-a29b-b86fc7d8c6d4 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c5397509-c150-433b-8fa8-3ce870aa1340 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2be9a35-5895-4fa7-b2ee-fe31e6009b0a · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2024 , eprint=
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d4d32cc5-99d8-4c53-a8e6-99f84ce142b5 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95a97e2f-3b34-4e44-ad5a-342752977a37 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a7fd21b8-bb97-4e80-919a-cc329025dc9d · outbound
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15d744d7-3a84-4c32-a11a-efe0f4ab60f4 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c3df7e4-d94f-4593-b776-be577e28b928 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea1a0975-274c-4e8e-bac8-18c1a7d3499c · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 38c146b4-984e-4a42-b5bf-43a872acb05f · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9c7c7cd4-ceca-42d2-b5f6-b5d69cd1fff7 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c70beb18-3fab-479b-89c3-ef6affc4e4ea · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 69422fc1-69de-4c58-8631-2648b39b6b1f · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Siksek, Samir , TITLE =
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5a95e52-c797-4b1a-95a5-246e50bd6513 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Iwasawa theory for quadratic Hilbert modular forms
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 399f7673-a15d-412e-808d-a86a15fb9546 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb9c9fcf-8eac-43b3-ae51-b3f3d40d98b1 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfd0c6d1-2a26-4575-9d52-661c70c3d152 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Arithmetic algebraic geometry (
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65005bcd-9214-482f-803c-c862fca2b8f0 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b4d090cf-19ad-49f6-bf2d-6ead22ec8111 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 51fa8189-61f3-4c2b-8e8b-aaf917397c8e · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields L-functions and
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 15415d7e-5851-4f87-893f-f8298cd2ffb6 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2016 , eprint=
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4dc48605-02f9-4ab5-8769-fd5611aa4110 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Algebra Number Theory , volume=
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b07e51a7-6439-49d2-9d70-ff8bb04c9b86 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Comment.\ Math.\ Helv
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e34d6f63-d27e-4a79-9761-79bb5927b2c9 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Ann.\ Math.\ Qu\'ebec , volume=
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3f9bd56d-0e6f-406c-9615-1996e9b438eb · outbound
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1556c355-420a-48be-8595-b0aa5c481525 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Compos.\ Math
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 115811b8-76e0-41e5-8439-2130208ab645 · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2023 , eprint=
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a350b094-3c46-4a5e-9140-1eb2590b29aa · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2019 , eprint=
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b87764d7-e283-402a-8cd7-b66fc246008f · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 1980 , PAGES =
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b4111fcf-a5e6-46bf-9eff-ad4c4f7e837a · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Duke Mathematical Journal , volume =
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2e43f0eb-d43b-49e6-b415-b72fe492f2bb · outbound
A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields S\'eminaire Bourbaki : ann\'ees 1964/65 1965/66, expos\'es 277-312 , series =
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
No inbound Pith citation observations are available.